Cornford was educated at St Paul's School and was admitted to Trinity in 1893, being elected a Scholar the following year. Cornford obtained firsts in both parts of the classical tripos in 1905 and 1907; he was awarded the Chancellor's Classical Medal in the latter year. In 1897 he applied for the Chair of Greek at Cardiff, but was unsuccessful. However, in 1899 he was elected a Fellow of Trinity. He was appointed Assistant Lecturer in Classics in 1902 and Lecturer in 1904. In 1909 he married Frances Darwin, daughter of Ellen Crofts of Newnham College and the botanist Francis Darwin.
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Cornford was educated at St Paul's School and was admitted to Trinity in 1893, being elected a Scholar the following year. Cornford obtained firsts in both parts of the classical tripos in 1905 and 1907; he was awarded the Chancellor's Classical Medal in the latter year. In 1897 he applied for the Chair of Greek at Cardiff, but was unsuccessful. However, in 1899 he was elected a Fellow of Trinity. He was appointed Assistant Lecturer in Classics in 1902 and Lecturer in 1904. In 1909 he married Frances Darwin, daughter of Ellen Crofts of Newnham College and the botanist Francis Darwin.